The length of a rectangular shaped park is (3x+5) miles. The width is (2x+8) miles. The area of the park is 360 square miles. What are the dimensions of the park?

Area=legnth times width

(3x+5) (2x+8) = 360

first expand

6x²+34x+40=360

minus 360 both sides

6x²+34x-320=0

factor out 2

2 (3x²+17x-160) = 0

factor inner by trial and error

(2) (x-5) (3x+32) = 0

set to zero

x-5=0

x=5

3x+32=0

3x=-32

x=-32/3

false, a dimention can't be negative

x=5

(3x+5)

(3 (5) + 5)

(15+5)

20

length is 20miiles

(2x+8)

(2 (5) + 8)

(10+8)

18

width is 18 miles

it is 20 miles by 18 miles